72407067311072 has 48 divisors (see below), whose sum is σ = 157087067805360. Its totient is φ = 32641468618752.

The previous prime is 72407067311039. The next prime is 72407067311077. The reversal of 72407067311072 is 27011376070427.

It is a super-2 number, since 2×72407067311072² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72407067311077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2023882697 + ... + 2023918472.

It is an arithmetic number, because the mean of its divisors is an integer number (3272647245945).

Almost surely, 2^{72407067311072} is an apocalyptic number.

It is an amenable number.

72407067311072 is an abundant number, since it is smaller than the sum of its proper divisors (84680000494288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72407067311072 is a wasteful number, since it uses less digits than its factorization.

72407067311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047801235 (or 4047801227 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 47.

The spelling of 72407067311072 in words is "seventy-two trillion, four hundred seven billion, sixty-seven million, three hundred eleven thousand, seventy-two".